4 citations · 6 across the 4 of their papers we have counts for
4 papers
Nonlinear lattices from the physics of ecosystems: The Lefever-Lejeune nonlinear lattice in
Nikos I. Karachalios, Antonis Krypotos, Paris Kyriazopoulos
We argue that the spatial discretization of the strongly nonlinear Lefever-Lejeune partial differential equation defines a nonlinear lattice that is physically relevant in the cont…
The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite dimensional approximations
Georgios Fotopoulos, Nikos I. Karachalios, Vassilis Koukouloyannis +2
The study of nonlinear Schrödinger-type equations with nonzero boundary conditions define challenging problems both for the continuous (partial differential equation) or the discre…
The Lefever-Lejeune nonlinear lattice: convergence dynamics and the structure of equilibrium states
Nikos I. Karachalios, Paris Kyriazopoulos, Konstantinos Vetas
We consider the Lefever-Lejeune nonlinear lattice, a spatially discrete propagation-inhibition model describing the growth of vegetation densities in dry-lands. We analytically ide…
Excitation of Peregrine-type waveforms from vanishing initial conditions in the presence of periodic forcing
Nikos I. Karachalios, Paris Kyriazopoulos, Konstantinos Vetas
We show by direct numerical simulations that spatiotemporally localized wave forms, strongly reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions…